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portada Narrow Operators on Function Spaces and Vector Lattices
Type
Physical Book
Author
Publisher
Year
2012
Language
English
Pages
332
Format
Hardcover
Dimensions
24.4 x 17.0 x 1.9 cm
Weight
0.73 kg.
ISBN
3110263033
ISBN13
9783110263039
Categories

Narrow Operators on Function Spaces and Vector Lattices

Mikhail Popov (Author) · Beata Randrianantoanina (Author) · de Gruyter · Hardcover

Narrow Operators on Function Spaces and Vector Lattices - Popov, Mikhail ; Randrianantoanina, Beata

New Book Imported to South Africa
Delivery: 27 Jul - 20 Aug Shipping: 12 to 14 business days.
R 2,528
R 2,528

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Synopsis "Narrow Operators on Function Spaces and Vector Lattices"

Most classes of operators that are not isomorphic embeddings are characterized by some kind of a "smallness" condition. Narrow operators are those operators defined on function spaces that are "small" at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

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